Question

Find six rational numbers between 3 and 4.​

Answer 1

There are infinite rational numbers between 3 and 4.

As we have to find 6 rational numbers between 3 and 4, we will multiply both the numbers, 3 and 4, with 6+1 = 7 (or any number greater than 6)

i.e., 3 × (7/7) = 21/7

and, 4 × (7/7) = 27/7. The numbers in between 21/7 and 28/7 will be rational and will fall between 3 and 4.

Hence, 22/7, 23/7, 24/7, 25/7, 26/7, 27/7 are the 6 rational numbers between 3 and 4.

Hope it Helps !

Answer 2

Answer:

As we have to find 6 rational numbers, we multiply the numbers by \frac{7}{7}

$3 = 3 \times \frac{7}{7} = \frac{21}{7}$

And

$4 = 4 \times \frac{7}{7} = \frac{28}{7}$

Thus 6 rational number between 3 & 4 (i .e . \frac{21}{7} & \frac{28}{7} are

$\frac{22}{7} \: \: \frac{23}{7} \: \: \frac{24}{7} \: \: \frac{25}{7} \: \: \frac{26}{7} \: \: \frac{27}{7}$